Quantum horizons and black-hole entropy: Inclusion of distortion and rotation
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In this paper, the detailed theory of the geometry of quantum type I horizons and the calculation of their entropy can be generalized to type II, and the leading term in entropy of large horizons is again given by 1/4th of the horizon area for the same value of the Barbero-Immirzi parameter.Abstract:
Equilibrium states of black holes can be modelled by isolated horizons. If the intrinsic geometry is spherical, they are called type I while if it is axi-symmetric, they are called type II. The detailed theory of the geometry of quantum type I horizons and the calculation of their entropy can be generalized to type II, thereby including arbitrary distortions and rotations. The leading term in entropy of large horizons is again given by 1/4th of the horizon area for the same value of the Barbero–Immirzi parameter as in the type I case. Ideas and constructions underlying this extension are summarized.read more
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Background independent quantum gravity: A Status report
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TL;DR: In this paper, a detailed analysis of the spherically symmetric isolated horizon system is performed in terms of the connection formulation of general relativity, and the system is shown to admit a manifestly SU(2) invariant formulation where the effective horizon degrees of freedom are described by an SU (2) Chern-Simons theory.
References
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The four laws of black hole mechanics
TL;DR: This article derived expressions for the mass of a stationary axisymmetric solution of the Einstein equations containing a black hole surrounded by matter and for the difference in mass between two neighboring such solutions.
Journal ArticleDOI
Background independent quantum gravity: A Status report
TL;DR: Loop quantum gravity as discussed by the authors is a background-independent, non-perturbative approach to the problem of unification of general relativity and quantum physics, based on a quantum theory of geometry.
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Quantum geometry and black hole entropy
TL;DR: In this article, it was shown that the entropy of a large non-rotating black hole is proportional to its horizon area, and that the constant of proportionality depends upon the Immirzi parameter, which fixes the spectrum of the area operator in loop quantum gravity.
Journal ArticleDOI
Isolated and dynamical horizons and their applications
Abhay Ashtekar,Badri Krishnan +1 more
TL;DR: A new, quasi-local framework was introduced to analyze diverse facets of black holes in a unified manner that has introduced a more physical setting for black hole thermodynamics, suggested a phenomenological model for hairy black holes, provided novel techniques to extract physics from numerical simulations, and led to new laws governing the dynamics ofblack holes in exact general relativity.
Journal ArticleDOI
Black hole entropy in Loop Quantum Gravity
TL;DR: In this article, the black-hole entropy in loop quantum gravity was calculated as a function of the horizon area and the exact formula for the leading and sub-leading terms was provided.